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Finite-Rank Perturbation Theory and Applications, Michael Bush

Perturbation theory deals with tracking how the properties of a mathematical object evolve as input parameters are varied. The main usage of the tools of perturbation theory in application is to…

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IV. 1-2 Structure of 2nd-order equations

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III.5 Laplace solution of IVPs

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III.4 Laplace transform

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II.4 Operators

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Grad, curl and divergence - II

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Section 2.7

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Regularity up to the boundary II

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Regularity up to the boundary I

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Interior regularity II

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Interior regularity I

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Boundedness of solution operator for elliptic BVP

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The Fredholm alterntative for elliptic BVP

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The spectrum of elliptic operators

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The adjoint BVP II

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The adjoint BVP I

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